Details

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 14.071842%

Guaranteed chance to sample good point: 63.916064%

sample23.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	28×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* x y) (* z t))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(- (* x y) (* z t))

simplify72.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune27.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* t z))
0.3b	(pow (- (* x y) (* t z)) 3)
35.3b	(cbrt (pow (- (* x y) (* t z)) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

3.0ms	(- (* x y) (* t z))
6.0ms	(pow (- (* x y) (* t z)) 3)
4.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

series56.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (* x y) (* t z))
34.0ms	(pow (- (* x y) (* t z)) 3)
11.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	251	435
1	1097	414
2	5001	408

prune68.0ms

Filtered

41 candidates to 69 candidates (-68.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
1.3b	(- (pow (* x y) 3) (pow (* z t) 3))
2.6b	(* (* z t) (+ (* z t) (* x y)))
37.2b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
20×	`difference-of-squares` `sqr-pow`
19×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-/l*`
8×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

9.0ms	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
7.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
7.0ms	(* (* z t) (+ (* z t) (* x y)))
16.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
46.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
14.0ms	(* (* z t) (+ (* z t) (* x y)))
53.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

simplify125.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	556	1992
1	3251	1869
2	5002	1864

prune181.0ms

Filtered

92 candidates to 121 candidates (-31.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0.0b

Counts

124 → 3

regimes362.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 14.071842%

Guaranteed chance to sample good point: 63.916064%

sample493.0ms

Algorithm

intervals

Results

227.0ms	8000×	body	80	valid
27.0ms	1032×	body	80	invalid

Details

analyze1.1s

sample23.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite3.0ms

series11.0ms

simplify72.0ms

prune27.0ms

localize9.0ms

rewrite16.0ms

series56.0ms

simplify41.0ms

prune68.0ms

localize17.0ms

rewrite43.0ms

series140.0ms

simplify125.0ms

prune181.0ms

regimes362.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample493.0ms

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